On-off keying (OOK) and binary phase shift keying (BPSK) signals are well known information carrier in quantum communication[1]}, [2]}. In OOK signal
\(|\alpha _x,\vec{h}\rangle \in \lbrace |\alpha ,\vec{h}\rangle ,|0,\vec{h}\rangle \in \mathcal {H}|\alpha \in \mathbb {R}\rbrace ,\) 
